On exponential stability of second order delay differential equations

Title:

On exponential stability of second order delay differential equations

Creator:

Agarwal, Ravi P, Domoshnitsky, Alexander, and Maghakyan, Abraham

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:34f016ac-444e-4a4f-a033-cf4b12acdf59
uuid:34f016ac-444e-4a4f-a033-cf4b12acdf59
issn:0011-4642

Subject:

matematika, mathematics, delay equations, uniform exponential stability, exponential estimates of solutions, Cauchy function, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We propose a new method for studying stability of second order delay differential equations. Results we obtained are of the form: the exponential stability of ordinary differential equation implies the exponential stability of the corresponding delay differential equation if the delays are small enough. We estimate this smallness through the coefficients of this delay equation. Examples demonstrate that our tests of the exponential stability are essentially better than the known ones. This method works not only for autonomous equations but also for equations with variable coefficients and delays., Ravi P. Agarwal, Alexander Domoshnitsky, Abraham Maghakyan., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1047-1068

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:4

Harvested from:

CDK

Metadata only:

false